Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400ce |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-4512000000000 = -1 · 214 · 3 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 0 3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,124912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:250:1] |
Generators of the group modulo torsion |
j |
-456533/564 |
j-invariant |
L |
3.2711296270053 |
L(r)(E,1)/r! |
Ω |
0.700410033948 |
Real period |
R |
1.1675766581564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050r1 56400dl1 |
Quadratic twists by: -4 5 |